2) In the figure below, light initially polarized parallel to the Eait is sent into a system of three polarizing sheets whose polarizing directions make angles of 0, - 0, - 6 - 53.1° with the direction of the y axis. (a) What percentage of the initial intensity is transmitted by the system? (Hint: Be careful with the angles - the figure below defines cach angle.)

The helium-neon laser usually used in classrooms typically provides an intensity of about 14 What are the rms electric and magnetic fields 1m/wm for such a beam? Hint: Poynting vector We know that electric and magnetic fields store energy, and so as EM wave propagates, it carries energy. The rate of energy flow, in watts per square meter, can be shown to be: S = ¹ EX B Ho S is the Poynting vector. It points in the direction the energy is propagating. In a plane wave, EL B,and E=cB, so |S= Wmm². = EB= 1 CHO -E²=__B² но Но 1 = 1/² &₁₂ E²³C с Is /IM√x (mm) 2

5) A circular-plate capacitor with radius 10.0 cm and plate separation 4.00 mm is being charged with a 0.100 A current. Calculate the a) the time rate of change of electric flux between the plates and b) the displacement current. c) the magnetic field between the plates, 5.00 cm from the center. 6) An electromagnetic wave in vacuum has an electric field amplitude of 100 V/m and frequency of 60 kHz. Calculate the a) amplitude, b) frequency of the corresponding magnetic field.

The ratio If/lo is maximized when polarizer X is rotated so its polarization axis is 45° different from that of polarizer A (that is, when OAx is 45°). What is this maximum intensity ratio?